Marriott International Inc (MAR)
Marriott International, Inc. is an American multinational company that operates, franchises, and licenses lodging including hotel, residential, and timeshare properties. It is headquartered in Bethesda, Maryland.
Stock Price Trends
Stock price trends estimated using linear regression.
Key facts
- The primary trend is increasing.
- The growth rate of the primary trend is 164.98% per annum.
- MAR price at the close of November 20, 2024 was $280.18 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 13.51% per annum.
- MAR price at the close of November 20, 2024 was inside the secondary price channel.
Linear Regression Model
Model equation:
Yi = α + β × Xi + εi
Top border of price channel:
Exp(Yi) = Exp(a + b × Xi + 2 × s)
Bottom border of price channel:
Exp(Yi) = Exp(a + b × Xi – 2 × s)
where:
i - observation number
Yi - natural logarithm of MAR price
Xi - time index, 1 day interval
σ - standard deviation of εi
a - estimator of α
b - estimator of β
s - estimator of σ
Exp() - calculates the exponent of e
Primary Trend
Start date: August 2, 2024
End date: November 20, 2024
a = 0.7734
b = 0.0027
s = 0.0195
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0027) – 1
= 164.98%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0195) – 1
= 8.10%
August 2, 2024 calculations
Top border of price channel:
Exp(Y1,180)
= Exp(a + b × X1,180 + 2 × s)
= Exp(a + b × 1,716 + 2 × s)
= Exp(0.7734 + 0.0027 × 1,716 + 2 × 0.0195)
= Exp(5.3938)
= $220.04
Bottom border of price channel:
Exp(Y1,180)
= Exp(a + b × X1,180 – 2 × s)
= Exp(a + b × 1,716 – 2 × s)
= Exp(0.7734 + 0.0027 × 1,716 – 2 × 0.0195)
= Exp(5.3159)
= $203.55
November 20, 2024 calculations
Top border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(0.7734 + 0.0027 × 1,826 + 2 × 0.0195)
= Exp(5.6875)
= $295.15
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(0.7734 + 0.0027 × 1,826 – 2 × 0.0195)
= Exp(5.6096)
= $273.03
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 164.98% per annum.
- MAR price at the close of November 20, 2024 was $280.18 and was inside the primary price channel.
Secondary Trend
Start date: November 6, 2024
End date: November 20, 2024
a = 5.0080
b = 0.0003
s = 0.0129
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0003) – 1
= 13.51%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0129) – 1
= 5.30%
November 6, 2024 calculations
Top border of price channel:
Exp(Y1,247)
= Exp(a + b × X1,247 + 2 × s)
= Exp(a + b × 1,812 + 2 × s)
= Exp(5.0080 + 0.0003 × 1,812 + 2 × 0.0129)
= Exp(5.6629)
= $287.98
Bottom border of price channel:
Exp(Y1,247)
= Exp(a + b × X1,247 – 2 × s)
= Exp(a + b × 1,812 – 2 × s)
= Exp(5.0080 + 0.0003 × 1,812 – 2 × 0.0129)
= Exp(5.6113)
= $273.50
November 20, 2024 calculations
Top border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 + 2 × s)
= Exp(a + b × 1,826 + 2 × s)
= Exp(5.0080 + 0.0003 × 1,826 + 2 × 0.0129)
= Exp(5.6678)
= $289.39
Bottom border of price channel:
Exp(Y1,257)
= Exp(a + b × X1,257 – 2 × s)
= Exp(a + b × 1,826 – 2 × s)
= Exp(5.0080 + 0.0003 × 1,826 – 2 × 0.0129)
= Exp(5.6161)
= $274.83
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 13.51% per annum.
- MAR price at the close of November 20, 2024 was inside the secondary price channel.